|Figure 1: Intersection. Click on the image to see a representation of A ∩ B.||
An intersection of two or more
is a set containing the members that are in all of the sets. This is spoken, "Set
C is the intersection of sets
A and B."
This is written, C = A ∩ B.
Properties of Intersection of Sets
|Commutative||A ∩ B = B ∩ A||The intersection of sets is commutative|
|Associative||(D ∩ E) ∩ F = D ∩ (E ∩ F)||The intersection of sets is associative|
|Distributive||(D ∩ E) ∪ F = (D ∪ F) ∩ (E ∪ F)|
(D ∪ E) ∩ F = (D ∩ F) ∪ (E ∩ F)
|The intersection and union of sets are distributive|
|Table 1: Properties of the intersection of two sets.|